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Mathematics Past Questions

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93 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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Past Questions

93 questions

Question 1 of 20 93 total questions

Question 1

waec 1989

In an A.P. the first term is 2, and the sum of the 1st and the 6th term is 16\(\frac{1}{2}\). What is the 4th term

A12

B9¹/₂

E5¹/₂

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Question 2

waec 1989

In the diagram, O is the center of the circle, If ∠POQ = 80^o and ∠PRQ = 5x, find the value of x.

A4^o

B8^o

C16^o

D20^o

E32^o

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Question 3

waec 1989

What is the probability that 3 customers waiting in a bank will be served in the sequence of their arrival at the bank

A1/6

B1/3

C1/2

D2/3

E5/6

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Question 4

waec 1989

sinθ = \(\frac{1}{2}\) and cosθ = -\(\frac{\sqrt{3}}{2}\), what is the value of θ?

A30 ⁰

B60 ⁰

C90 ^o

D120 ^o

E150 ^o

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Question 5

waec 1989

Given that logp = 2 logx + 3logq, which of the following expresses p in terms of x and q?

Ap = 5xq

Bp = 6xq

Cp = x² + q³

Dp = 2x + 3q

Ep = x²q³

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Question 6

waec 1989

Solve for x: (x\(^2\) + 2x + 1) = 25

A-6, -4

B6, -4

C6, 4

D-6, 4

E5, 5

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Question 7

waec 1989

The angle of depression of a point on the ground from the top of a building is 20.3^o. If the foot of the building is 40m, calculate the height of the building, correct to one decimal place

A37.5m

B28.1m

C27.8m

D14.8m

E13.9m

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Question 8

waec 1989

In the diagram above, O is the center of the circle. If ∠POR = 114^o, calculate ∠PQR

A123^o

B118.5^o

C117^o

D114^o

E54^o

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Question 9

waec 1989

Calculate and correct to three significant figures, the length of an arc subtends an angle of 70^o at the center of the circle radius 4cm. [Take π = 22/7]

A2.44cm

B4.89cm

C9.78cm

D25.1cm

E50.3cm

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Question 10

waec 1989

If logax = p, express x in terms of a and p

Ax = u + p

Bx = a/p

Cx = p

Dx = ap

Ex = a^p

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Question 11

waec 1989

A sector is cut off from a circle radius 8.2cm to form a cone, if the radius of the resulting cone is 3.5cm, calculate the curved surface area of the cone. [take π = 22/7]

A11.25cm²

B12.83cm²

C22.0cm²

D67.2cm²

E90.2cm²

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Question 12

waec 1989

Which of the following gives the point of intersection of the graph y = x2 and y = x + 6 shown above?

A(0,6), (3,9)

B(-3, 0)(2,4)

C(-2,4)(3,9)

D(-2,3)(-3,2)

E(-2,2)(3,6)

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Question 13

waec 1989

In the diagram above, O is the center of the circle QRT and PT is a tangent to the circle at T. Calculate the angle x

A55^o

B40^o

C35^o

D25^o

E20^o

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Question 14

waec 1989

The angle of a sector of a circle of diameter 8cm is 135°. Find the area of the sector [Take \(\pi\) = 22/7].

A\(9\frac{3}{7}cm^2\)

B\(12\frac{4}{7}cm^2\)

C\(18\frac{6}{7}cm^2\)

D\(25\frac{1}{7}cm^2\)

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Question 15

waec 1989

The table above gives the scores of a group of students in an English Language test

If a student is chosen at random from the group, what is the probability that the scored at least 6 marks?

A3/20

B1/5

C1/4

D3/10

E3/4

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Question 16

waec 1989

Find the volume of a cone of radius 3.5cm and vertical height 12cm [Take π = 22/7]

A3.4cm³

B15.5cm³

C21.0cm³

D42.0cm³

E154.0cm³

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Question 17

waec 1989

With reference to the graph above, which of the following solution sets is represented by ΔOPQ?

Ay ≥ x, y ≤ 0, y + x ≥ 7

By ≤ x, y ≥ 0, y + x ≤ 7

Cy ≥ x, y ≥ 0, y + x ≤ 7

Dy ≤ x, y ≤ 0, y + x ≤ 7

Ey ≤ x, y ≥ 0, y + x ≥ 7

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Question 18

waec 1989

In the diagram above, what is the size of angle ACB?

A40^o

B50^o

C60^o

D80^o

E100^o

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Question 19

waec 1989

Simplify \(\frac{9^{-\frac{1}{2}}}{27^{\frac{2}{3}}}\)

B1/3

C1/9

D1/18

E1/27

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Question 20

waec 1989

In the diagram above O is the center of the circle, if ∠PAQ = 75o, what is the value of ∠PBQ?

A15^o

B75^o

C105^o

D150^o

E210^o

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